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Finding the Fourth Proportional to 110,643.88, 165,982.14 and 35,739.04

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Solution

The fourth proportional to 110,643.88, 165,982.14 and 35,739.04 is: 53,613.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,643.88 : 165,982.14 = 35,739.04 : x
  2. Step 2: Convert to fraction form
    110,643.88/165,982.14 = 35,739.04/x
  3. Step 3: Cross multiply
    110,643.88x = 165,982.14 × 35,739.04
  4. Step 4: Simplify right side
    110,643.88x = 5,932,042,340.75
  5. Step 5: Solve for x
    x = 5,932,042,340.75/110,643.88
  6. Step 6: Final answer
    x = 53,613.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.